Highest Common Factor of 6734, 976 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6734, 976 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6734, 976 is 2 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 6734, 976 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 6734, 976 is 2.
HCF(6734, 976) = 2
HCF of 6734, 976 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6734, 976 is 2.
Highest Common Factor of 6734,976 is 2
Step 1: Since 6734 > 976, we apply the division lemma to 6734 and 976, to get
6734 = 976 x 6 + 878
Step 2: Since the reminder 976 ≠ 0, we apply division lemma to 878 and 976, to get
976 = 878 x 1 + 98
Step 3: We consider the new divisor 878 and the new remainder 98, and apply the division lemma to get
878 = 98 x 8 + 94
We consider the new divisor 98 and the new remainder 94,and apply the division lemma to get
98 = 94 x 1 + 4
We consider the new divisor 94 and the new remainder 4,and apply the division lemma to get
94 = 4 x 23 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6734 and 976 is 2
Notice that 2 = HCF(4,2) = HCF(94,4) = HCF(98,94) = HCF(878,98) = HCF(976,878) = HCF(6734,976) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6734, 976 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 6734, 976?
Answer: HCF of 6734, 976 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6734, 976 using Euclid's Algorithm?
Answer: For arbitrary numbers 6734, 976 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.